external image given_arrow.gif
external image linesegment_pq.gif external image congruent.gif external image linesegment_xy.gif
external image blank.gif
external image prove_arrow.gif
external image linesegment_xy.gif external image congruent.gif external image linesegment_pq.gif
external image blank.gif

external image mcd_ma_geo_lsn_0395937779_p102_f02.gif

external image mcd_ma_geo_lsn_0395937779_p102_f03_proof.gif


In the diagram, Q is the midpoint of external image linesegment_pr.gif.

external image mcd_ma_geo_lsn_0395937779_p102_f06.gif

Show that PQ and QR are each equal to external image frac_1_2.gifPR.

Given> Q is the midpoint of external image linesegment_pr.gif. external image blank.gif
external image prove_arrow.gif
PQ = external image frac_1_2.gifPR and QR = external image frac_1_2.gifPR.
external image blank.gif external image mcd_ma_geo_lsn_0395937779_p102_f07_proof.gif




Prove the symmetric property of segment congruence. .P.-------------------.Q.
GIVEN: PQ ~ XY .X.-------------------.Y.
PROVE: XY ~ PQ
1. PQ~X~
2. PQ = XY
3. XY = PQ
4. XY~PQ
Statements Reasons
1. Given
2. Definition of congruence
3.Symmetric Property of Equality
4. Definition of Congruence